TOMS454_PRB3 FORTRAN77 version Test TOMS algorithm 454, which implements the complex method of constrained optimization. The Beveridge and Schechter problem. ITERATION 1 COORDINATES AT POINT 2 1.3180 0.1745 COORDINATES AT POINT 3 -0.3388 -1.2272 COORDINATES AT POINT 4 -0.9697 -1.1032 FUNCTION VALUES -1.2500 -1.3506 -5.6640 -6.5835 CORRECTED POINT 1.1632 0.1381 FUNCTION VALUES -1.2500 -1.3506 -5.6640 -1.1827 CENTROID COORDINATES 0.3264 -0.3509 ITERATION 2 CORRECTED POINT 1.4135 0.7592 FUNCTION VALUES -1.2500 -1.3506 -0.8925 -1.1827 CENTROID COORDINATES 0.8271 0.1042 ITERATION 3 CORRECTED POINT 0.2620 0.4610 FUNCTION VALUES -1.2500 -0.3471 -0.8925 -1.1827 CENTROID COORDINATES 0.8589 0.2991 ITERATION 4 CORRECTED POINT 1.4731 0.7471 FUNCTION VALUES -1.0108 -0.3471 -0.8925 -1.1827 CENTROID COORDINATES 0.9462 0.4528 ITERATION 5 CORRECTED POINT 0.9756 0.9922 FUNCTION VALUES -1.0108 -0.3471 -0.8925 -0.2263 CENTROID COORDINATES 1.0495 0.6558 ITERATION 6 CORRECTED POINT 0.1175 0.7250 FUNCTION VALUES -0.2219 -0.3471 -0.8925 -0.2263 CENTROID COORDINATES 0.8837 0.7375 ITERATION 7 CORRECTED POINT 0.1391 0.7154 FUNCTION VALUES -0.2219 -0.3471 -0.2112 -0.2263 CENTROID COORDINATES 0.4517 0.7261 ITERATION 8 CORRECTED POINT 0.6042 1.2656 FUNCTION VALUES -0.2219 -0.0814 -0.2112 -0.2263 CENTROID COORDINATES 0.4108 0.8109 ITERATION 9 CORRECTED POINT 0.0631 0.8727 FUNCTION VALUES -0.2219 -0.0814 -0.2112 -0.2071 CENTROID COORDINATES 0.2870 0.9020 ITERATION 10 CORRECTED POINT 0.4655 1.2453 FUNCTION VALUES -0.0614 -0.0814 -0.2112 -0.2071 CENTROID COORDINATES 0.2688 0.9512 ITERATION 11 CORRECTED POINT 0.5326 1.2710 FUNCTION VALUES -0.0614 -0.0814 -0.0745 -0.2071 CENTROID COORDINATES 0.3776 1.1279 ITERATION 12 CORRECTED POINT 0.5724 1.2702 FUNCTION VALUES -0.0614 -0.0814 -0.0745 -0.0783 CENTROID COORDINATES 0.5341 1.2606 ITERATION 13 CORRECTED POINT 0.4186 1.2577 FUNCTION VALUES -0.0614 -0.0730 -0.0745 -0.0783 CENTROID COORDINATES 0.5235 1.2622 ITERATION 14 CORRECTED POINT 0.4071 1.2500 FUNCTION VALUES -0.0614 -0.0730 -0.0745 -0.0711 CENTROID COORDINATES 0.4722 1.2580 ITERATION 15 CORRECTED POINT 0.3972 1.2445 FUNCTION VALUES -0.0614 -0.0730 -0.0703 -0.0711 CENTROID COORDINATES 0.4304 1.2510 ITERATION 16 CORRECTED POINT 0.4294 1.2322 FUNCTION VALUES -0.0614 -0.0589 -0.0703 -0.0711 CENTROID COORDINATES 0.4233 1.2466 ITERATION 17 CORRECTED POINT 0.4613 1.2285 FUNCTION VALUES -0.0614 -0.0589 -0.0703 -0.0537 CENTROID COORDINATES 0.4307 1.2407 ITERATION 18 CORRECTED POINT 0.5234 1.2234 FUNCTION VALUES -0.0614 -0.0589 -0.0505 -0.0537 CENTROID COORDINATES 0.4521 1.2353 ITERATION 19 CORRECTED POINT 0.4790 1.2056 FUNCTION VALUES -0.0427 -0.0589 -0.0505 -0.0537 CENTROID COORDINATES 0.4714 1.2281 ITERATION 20 CORRECTED POINT 0.5639 1.2023 FUNCTION VALUES -0.0427 -0.0450 -0.0505 -0.0537 CENTROID COORDINATES 0.4879 1.2192 ITERATION 21 CORRECTED POINT 0.6011 1.1870 FUNCTION VALUES -0.0427 -0.0450 -0.0505 -0.0452 CENTROID COORDINATES 0.5221 1.2104 ITERATION 22 CORRECTED POINT 0.5800 1.1656 FUNCTION VALUES -0.0427 -0.0450 -0.0338 -0.0452 CENTROID COORDINATES 0.5480 1.1983 ITERATION 23 CORRECTED POINT 0.4628 1.1966 FUNCTION VALUES -0.0427 -0.0450 -0.0338 -0.0401 CENTROID COORDINATES 0.5410 1.1912 ITERATION 24 CORRECTED POINT 0.4336 1.1724 FUNCTION VALUES -0.0427 -0.0341 -0.0338 -0.0401 CENTROID COORDINATES 0.5073 1.1893 ITERATION 25 CORRECTED POINT 0.5092 1.1426 FUNCTION VALUES -0.0204 -0.0341 -0.0338 -0.0401 CENTROID COORDINATES 0.4921 1.1782 ITERATION 26 CORRECTED POINT 0.5659 1.1129 FUNCTION VALUES -0.0204 -0.0341 -0.0338 -0.0171 CENTROID COORDINATES 0.5076 1.1602 ITERATION 27 CORRECTED POINT 0.6285 1.1195 FUNCTION VALUES -0.0204 -0.0308 -0.0338 -0.0171 CENTROID COORDINATES 0.5517 1.1404 ITERATION 28 CORRECTED POINT 0.5521 1.0722 FUNCTION VALUES -0.0204 -0.0308 -0.0079 -0.0171 CENTROID COORDINATES 0.5679 1.1250 ITERATION 29 CORRECTED POINT 0.4305 1.0958 FUNCTION VALUES -0.0204 -0.0140 -0.0079 -0.0171 CENTROID COORDINATES 0.5424 1.1092 ITERATION 30 CORRECTED POINT 0.5252 1.0300 FUNCTION VALUES -0.0015 -0.0140 -0.0079 -0.0171 CENTROID COORDINATES 0.5162 1.0936 ITERATION 31 CORRECTED POINT 0.4203 1.0050 FUNCTION VALUES -0.0015 -0.0140 -0.0079 -0.0064 CENTROID COORDINATES 0.5026 1.0660 ITERATION 32 CORRECTED POINT 0.5438 0.9967 FUNCTION VALUES -0.0015 -0.0019 -0.0079 -0.0064 CENTROID COORDINATES 0.4992 1.0357 ITERATION 33 CORRECTED POINT 0.4602 0.9705 FUNCTION VALUES -0.0015 -0.0019 -0.0025 -0.0064 CENTROID COORDINATES 0.4964 1.0105 ITERATION 34 CORRECTED POINT 0.5388 0.9971 FUNCTION VALUES -0.0015 -0.0019 -0.0025 -0.0015 CENTROID COORDINATES 0.5097 0.9990 ITERATION 35 CORRECTED POINT 0.5421 1.0109 FUNCTION VALUES -0.0015 -0.0019 -0.0019 -0.0015 CENTROID COORDINATES 0.5359 1.0079 ITERATION 36 CORRECTED POINT 0.5244 1.0335 FUNCTION VALUES -0.0015 -0.0017 -0.0019 -0.0015 CENTROID COORDINATES 0.5354 1.0127 ITERATION 37 CORRECTED POINT 0.5130 1.0322 FUNCTION VALUES -0.0015 -0.0017 -0.0012 -0.0015 CENTROID COORDINATES 0.5294 1.0202 ITERATION 38 CORRECTED POINT 0.5274 1.0019 FUNCTION VALUES -0.0015 -0.0008 -0.0012 -0.0015 CENTROID COORDINATES 0.5257 1.0197 ITERATION 39 CORRECTED POINT 0.5280 0.9849 FUNCTION VALUES -0.0010 -0.0008 -0.0012 -0.0015 CENTROID COORDINATES 0.5264 1.0104 ITERATION 40 CORRECTED POINT 0.5020 1.0184 FUNCTION VALUES -0.0010 -0.0008 -0.0012 -0.0003 CENTROID COORDINATES 0.5228 1.0063 ITERATION 41 CORRECTED POINT 0.5231 0.9819 FUNCTION VALUES -0.0010 -0.0008 -0.0009 -0.0003 CENTROID COORDINATES 0.5191 1.0017 ITERATION 42 CORRECTED POINT 0.5038 1.0213 FUNCTION VALUES -0.0005 -0.0008 -0.0009 -0.0003 CENTROID COORDINATES 0.5175 1.0007 ITERATION 43 CORRECTED POINT 0.5071 1.0242 FUNCTION VALUES -0.0005 -0.0008 -0.0006 -0.0003 CENTROID COORDINATES 0.5110 1.0138 ITERATION 44 CORRECTED POINT 0.5005 1.0244 FUNCTION VALUES -0.0005 -0.0006 -0.0006 -0.0003 CENTROID COORDINATES 0.5043 1.0213 ITERATION 45 CORRECTED POINT 0.4956 1.0176 FUNCTION VALUES -0.0005 -0.0006 -0.0003 -0.0003 CENTROID COORDINATES 0.5021 1.0213 ITERATION 46 CORRECTED POINT 0.5003 1.0121 FUNCTION VALUES -0.0005 -0.0001 -0.0003 -0.0003 CENTROID COORDINATES 0.5004 1.0191 ITERATION 47 CORRECTED POINT 0.4934 1.0093 FUNCTION VALUES -0.0001 -0.0001 -0.0003 -0.0003 CENTROID COORDINATES 0.4993 1.0160 ITERATION 48 CORRECTED POINT 0.4892 1.0061 FUNCTION VALUES -0.0001 -0.0001 -0.0003 -0.0002 CENTROID COORDINATES 0.4964 1.0130 ITERATION 49 CORRECTED POINT 0.4927 0.9981 FUNCTION VALUES -0.0001 -0.0001 -0.0001 -0.0002 CENTROID COORDINATES 0.4943 1.0092 ITERATION 50 CORRECTED POINT 0.5036 1.0071 FUNCTION VALUES -0.0001 -0.0001 -0.0001 -0.0001 CENTROID COORDINATES 0.4955 1.0065 ITERATION 51 CORRECTED POINT 0.4917 0.9953 FUNCTION VALUES -0.0001 -0.0001 -0.0001 -0.0001 CENTROID COORDINATES 0.4966 1.0048 ITERATION 52 CORRECTED POINT 0.4977 0.9943 FUNCTION VALUES -0.0000 -0.0001 -0.0001 -0.0001 CENTROID COORDINATES 0.4960 1.0002 ITERATION 53 CORRECTED POINT 0.5021 1.0028 FUNCTION VALUES -0.0000 -0.0000 -0.0001 -0.0001 CENTROID COORDINATES 0.4980 0.9998 ITERATION 54 CORRECTED POINT 0.4955 0.9956 FUNCTION VALUES -0.0000 -0.0000 -0.0001 -0.0000 CENTROID COORDINATES 0.4975 0.9984 ITERATION 55 CORRECTED POINT 0.5021 0.9972 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.4984 0.9975 ITERATION 56 CORRECTED POINT 0.5039 0.9997 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.5006 0.9981 ITERATION 57 CORRECTED POINT 0.5035 1.0008 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.5027 0.9999 ITERATION 58 CORRECTED POINT 0.5008 1.0009 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.5026 1.0002 ITERATION 59 CORRECTED POINT 0.4992 0.9996 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.5017 1.0003 ITERATION 60 CORRECTED POINT 0.5002 1.0024 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.5007 1.0011 ITERATION 61 CORRECTED POINT 0.4988 0.9998 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.5001 1.0010 ITERATION 62 CORRECTED POINT 0.4994 0.9994 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.4996 1.0001 ITERATION 63 CORRECTED POINT 0.5011 1.0002 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.4998 1.0000 ITERATION 64 CORRECTED POINT 0.4996 0.9994 FUNCTION VALUES -0.0000 -0.0000 -0.0000 -0.0000 CENTROID COORDINATES 0.4999 0.9998 ITERATION 65 The exact solution is: F(0.5,1.0) = 0.0 TOMS454_PRB3 Normal end of execution.